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3 years ago

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 2."

Mathematics

2 answers:

ZanzabumX [31]3 years ago

6 0

Answer is C. This is because in quadrant 2, $\sin\theta>0$ so $\csc\theta>0$ is also true.

IrinaK [193]3 years ago

3 0

Answer with explanation:

Let , Theta =A

$\tan A=\frac{-12}{5}\\\\ \csc A=\frac{-13}{12}$

In First Quadrant all Trigonometric Function are Positive.

→In Quadrant,II , Sine and Cosecant , Function are Positive only.

→Cosecant theta is negative.So, Terminal point can't be in Second Quadrant.

Option C:

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Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

Divide by -10 both sides

$x^{2}+y^{2}=30$ -----> equation A

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

4 0

3 years ago

Pls help pls help pls help

Volgvan

Answer:

A. y=1-2x

Step-by-step explanation:

-1 =1-2(1)

-1= 1-2

-1=-1

-3=1-2(2)

-3=1-4

-3=-3

-5=1-2(3)

-5=1-6

-5=-5

-7=1-2(4)

-7=1-8

-7=-7

5 0

3 years ago

A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hou

IrinaK [193]

Answer:

3 customers

Step-by-step explanation:

Rate of arrival (λ) = 15 per hour

Service rate (μ) = 20 per hour

The number of customers in a system given the arrival rate and the mean service rate is given by:

$N = \frac{\lambda}{\mu-\lambda}\\$

Applying the given data:

$N = \frac{15}{20-5}\\N=3\ customers$

The average number of customers in the system is 3 customers.

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3 years ago

What are the types of roots of the equation below?<br><br>x^4 - 81 = 0

natali 33 [55]

Answer:

x^4 - 81 = 0

(x² - 9)(x² + 9) = 0

Notice that the first of these is itself a difference of two squares:

(x - 3)(x + 3)(x² + 9) = 0

So the solutions are x = 3, x = -3, x = 3i, x = -3i

4 0

3 years ago

Please help me.

Oksana_A [137]

The answer would be theorem Side angle side (aka SAS)

4 0

3 years ago

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